On a class of Kähler manifolds whose geodesic flows are integrable

Details On a class of Kähler manifolds whose geodesic flows are integrable On a class of Kähler manifolds whose geodesic flows are integrable

1995-09-20

arxiv.org/abs/dg-ga/9509004v1

Mathematics

Differential Geometry

67 pages, AmSTeX 2.1

Scientific paper

We study $n$-dimensional K\"ahler manifolds whose geodesic flows possess $n$ first integrals in involution that are fibrewise hermitian forms and simultaneously normalizable. Under some mild assumption, one can associate with such a manifold an $n$-dimensional commutative Lie algebra of infinitesimal automorphisms. This, combined with the given $n$ first integrals, makes the geodesic flow integrable. If the manifold is compact, then it becomes a toric variety.

Affiliated with

Also associated with

No associations

Rating

On a class of Kähler manifolds whose geodesic flows are integrable does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a class of Kähler manifolds whose geodesic flows are integrable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a class of Kähler manifolds whose geodesic flows are integrable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-613419